• HDU 2665 Kth number(划分树)


    Problem Description
    Give you a sequence and ask you the kth big number of a inteval.
     

    Input
    The first line is the number of the test cases. 
    For each test case, the first line contain two integer n and m (n, m <= 100000), indicates the number of integers in the sequence and the number of the quaere. 
    The second line contains n integers, describe the sequence. 
    Each of following m lines contains three integers s, t, k. 
    [s, t] indicates the interval and k indicates the kth big number in interval [s, t]
     

    Output
    For each test case, output m lines. Each line contains the kth big number.
     

    Sample Input
    1 10 1 1 4 2 3 5 6 7 8 9 0 1 3 2
     

    Sample Output
    2

    划分树:Kuangbin大大的模板。

    #include<iostream>
    #include<cstdio>
    #include<cstring>
    #include<algorithm>
    #include<limits.h>
    typedef long long LL;
    using namespace std;
    const int maxn=100000+100;
    int tree[30][maxn];
    int s[maxn],L[20][maxn];
    int t,n,m;
    void build(int l,int r,int dep)
    {
    //    cout<<"aaaa   "<<endl;
        if(l==r)   return ;
        int mid=(l+r)>>1;
        int ss=mid-l+1;
        for(int i=l;i<=r;i++)
        {
            if(tree[dep][i]<s[mid])
                ss--;
        }
        int lpos=l,rpos=mid+1;
        for(int i=l;i<=r;i++)
        {
            if(tree[dep][i]<s[mid])
                tree[dep+1][lpos++]=tree[dep][i];
            else if(tree[dep][i]==s[mid]&&ss>0)
            {
                tree[dep+1][lpos++]=tree[dep][i];
                ss--;
            }
            else
                tree[dep+1][rpos++]=tree[dep][i];
            L[dep][i]=L[dep][l-1]+lpos-l;
        }
        build(l,mid,dep+1);
        build(mid+1,r,dep+1);
    }
    int query(int LL,int RR,int l,int r,int dep,int k)
    {
    //    cout<<"aaaa   "<<l<<" "<<r<<endl;
        if(l==r)  return tree[dep][l];
        int mid=(LL+RR)>>1;
        int cnt=L[dep][r]-L[dep][l-1];
        if(cnt>=k)
        {
            int ll=LL+L[dep][l-1]-L[dep][LL-1];
            int rr=ll+cnt-1;
            return query(LL,mid,ll,rr,dep+1,k);
        }
        else
        {
            int rr=r+L[dep][RR]-L[dep][r];
            int ll=rr-(r-l-cnt);
            return query(mid+1,RR,ll,rr,dep+1,k-cnt);
        }
    }
    int main()
    {
        int x,y,k;
        scanf("%d",&t);
        while(t--)
        {
            scanf("%d%d",&n,&m);
            memset(tree,0,sizeof(tree));
            for(int i=1;i<=n;i++)
            {
                scanf("%d",&tree[0][i]);
                s[i]=tree[0][i];
            }
            sort(s+1,s+n+1);
            build(1,n,0);
            for(int i=1;i<=m;i++)
            {
                scanf("%d%d%d",&x,&y,&k);
                printf("%d
    ",query(1,n,x,y,0,k));
            }
        }
        return 0;
    }
    


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  • 原文地址:https://www.cnblogs.com/yjbjingcha/p/6773558.html
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